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Finding the Fourth Proportional to 3,476.07, 4,797 and 1,904.19

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Solution

The fourth proportional to 3,476.07, 4,797 and 1,904.19 is: 2,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.07 : 4,797 = 1,904.19 : x
  2. Step 2: Convert to fraction form
    3,476.07/4,797 = 1,904.19/x
  3. Step 3: Cross multiply
    3,476.07x = 4,797 × 1,904.19
  4. Step 4: Simplify right side
    3,476.07x = 9,134,399.43
  5. Step 5: Solve for x
    x = 9,134,399.43/3,476.07
  6. Step 6: Final answer
    x = 2,627.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.